Abstract:This paper deals with the -matrix approximation of matrices
that arise from a Galerkin boundary element (BEM) discretization in
the context of the -based eddy current model.
The BEM operators are dense, thus need to be compressed. They are of
complicated structure, i.e., some kernels and basis functions are vector
valued, and test and basis functions are not always identical.
The -matrix approximation technique is applied to the kernels of
the four different relevant boundary integral operators.
Numerical experiments demonstrate the significant acceleration of an
iterative solution procedure by means of matrix compression.